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Finding the Fourth Proportional to 3,862.50, 5,793.86 and 1,522.41

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Solution

The fourth proportional to 3,862.50, 5,793.86 and 1,522.41 is: 2,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.50 : 5,793.86 = 1,522.41 : x
  2. Step 2: Convert to fraction form
    3,862.50/5,793.86 = 1,522.41/x
  3. Step 3: Cross multiply
    3,862.50x = 5,793.86 × 1,522.41
  4. Step 4: Simplify right side
    3,862.50x = 8,820,630.40
  5. Step 5: Solve for x
    x = 8,820,630.40/3,862.50
  6. Step 6: Final answer
    x = 2,283.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.